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Finding the Third Proportional to 3,141,854,490.50 and 6,835,324,851

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Solution

The third proportional to 3,141,854,490.50 and 6,835,324,851 is: 14,870,728,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,854,490.50 : 6,835,324,851 = 6,835,324,851 : x
  2. Step 2: Convert to fraction form
    3,141,854,490.50/6,835,324,851 = 6,835,324,851/x
  3. Step 3: Cross multiply
    3,141,854,490.50x = 6,835,324,851 × 6,835,324,851
  4. Step 4: Simplify right side
    3,141,854,490.50x = 46,721,665,818,698,170,368
  5. Step 5: Solve for x
    x = 46,721,665,818,698,170,368/3,141,854,490.50
  6. Step 6: Final answer
    x = 14,870,728,724.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.